梯形结构大系统多目标规划子问题解的关系

J4 ›› 2010, Vol. 48 ›› Issue (02): 237-240.

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Relations of Solutions among Subproblems on Large ScaleMultiobjective Programming with Trapezoidal Structure

ZHANG Jie, WEI Caixia

College of Science, Northeast Dianli University, Jilin 132012, Jilin Province, China

Received:2009-05-05 Online:2010-03-26 Published:2010-03-22
Contact: ZHANG Jie E-mail:jlzj2005@163.com

Abstract

Abstract:

The model of large scale multiobjective programming with trapezoidal structure was first decomposed into several subproblems. Then the relations of their effective solutions among the subproblems as well as those between the large scale multiobjective programming and each of its subproblems were studied. Under particular conditions, it has been proved that the effective solutions of (I-1) subproblemsMPT_{(Bⁱ,A^i+1)} consist of the large scale problem （MPT）’s effective solutions.

Key words: large scale multiobjective programming, effective solution, trapezoidal structure

CLC Number:

O221.6

ZHANG Jie, WEI Cai-Xia. Relations of Solutions among Subproblems on Large ScaleMultiobjective Programming with Trapezoidal Structure[J].J4, 2010, 48(02): 237-240.

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Relations of Solutions among Subproblems on Large ScaleMultiobjective Programming with Trapezoidal Structure

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